Home / 72,508-102,107

Finding the Third Proportional to 72,508 and 102,107

Calculator

Solution

The third proportional to 72,508 and 102,107 is: 143,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,508 : 102,107 = 102,107 : x
  2. Step 2: Convert to fraction form
    72,508/102,107 = 102,107/x
  3. Step 3: Cross multiply
    72,508x = 102,107 × 102,107
  4. Step 4: Simplify right side
    72,508x = 10,425,839,449
  5. Step 5: Solve for x
    x = 10,425,839,449/72,508
  6. Step 6: Final answer
    x = 143,788.82

Related Problems

Find third proportional to 36,254 and 51,053.50
Half scale
Find third proportional to 145,016 and 204,214
Double scale
Find third proportional to 72,510 and 102,110
Similar ratio
Find third proportional to 108,762 and 153,160.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.